Abstract
Petty's conjectured projection inequality is a famous open problem in convex bodies theory. In this paper, it is shown that a $L_p$-version of the Petty's conjectured projection inequality. As its applications, we give a reverse of the Blaschke-Santaló inequality and consider the monotony of volumes for convex body and its $L_p$-Petty projection body, respectively. Otherwise, we also give the reverses of the $L_p$-Petty projection inequality.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
